200.96 cm^3
Step-by-step explanation:
The equation for the volume of a cone is...
[tex]V=\frac{1}{3}\pi r^2h[/tex]
Since we are using 4 for the radius we can plug that in, along with 12 for the height and 3.14 for pi.
So the equation with everything plugged in will be...
[tex]V=\frac{1}{3}*3.14*4*4*12[/tex]
Now we can solve.
[tex]V=200.96[/tex]
The volume of the cone is...
200.96 cm^3